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228278191853656 = 237175344471017383
BaseRepresentation
bin110011111001111000101000…
…100010010001000001011000
31002221021011220200112101002201
4303321320220202101001120
5214410102214103304111
62125301315324335544
766040361254160620
oct6371705042210130
91087234820471081
10228278191853656
116681126811277a
1221729a146a45b4
139a4b705b07a59
144052a1b183880
151b5d08dbb66c1
hexcf9e28891058

228278191853656 has 128 divisors (see below), whose sum is σ = 527833795092480. Its totient is φ = 90320862468096.

The previous prime is 228278191853651. The next prime is 228278191853683. The reversal of 228278191853656 is 656358191872822.

It is a super-2 number, since 2×2282781918536562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228278191853651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223869141 + ... + 224886523.

It is an arithmetic number, because the mean of its divisors is an integer number (4123701524160).

Almost surely, 2228278191853656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228278191853656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263916897546240).

228278191853656 is an abundant number, since it is smaller than the sum of its proper divisors (299555603238824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228278191853656 is a wasteful number, since it uses less digits than its factorization.

228278191853656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021913 (or 1021909 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 73.

The spelling of 228278191853656 in words is "two hundred twenty-eight trillion, two hundred seventy-eight billion, one hundred ninety-one million, eight hundred fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2968 3604 4447 6307 7208 8894 12614 17788 25228 31129 35576 50456 62258 75599 124516 151198 235691 249032 302396 471382 529193 604792 942764 1017383 1058386 1649837 1885528 2034766 2116772 3299674 4006747 4069532 4233544 6599348 7121681 8013494 8139064 13198696 14243362 16026988 17295511 28047229 28486724 32053976 34591022 53921299 56094458 56973448 69182044 107842598 112188916 121068577 138364088 215685196 224377832 242137154 377449093 431370392 484274308 754898186 916662083 968548616 1509796372 1833324166 3019592744 3666648332 4524302201 6416634581 7333296664 9048604402 12833269162 18097208804 25666538324 31670115407 36194417608 51333076648 63340230814 76913137417 126680461628 153826274834 239788016653 253360923256 307652549668 479576033306 538391961919 615305099336 959152066612 1076783923838 1678516116571 1918304133224 2153567847676 3357032233142 4076396283101 4307135695352 6714064466284 8152792566202 13428128932568 16305585132404 28534773981707 32611170264808 57069547963414 114139095926828 228278191853656